On the minimal degree of a transitive permutation group with stabilizer a 2-group
Potočnik, Primož, 1971- ; Spiga, Pablo
Minimalno stopnjo permutacijske grupe ▫$G$▫ definiramo kot minimum števila premaknjenih točk netrivialnih elementov permutacijske grupe ▫$G$▫. V članku dokažemo, da je minimalna stopnja tranzitivne ...permutacijske grupe stopnje ▫$n$▫, ki ne premore netrivialne edinke reda potenca števila 2 in v kateri je stabilizator reda potenca števila 2, vsaj dve tretjini števila ▫$n$▫. Dokaz sloni na klasifikaciji končnih enostavnih grup.
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